10520452800 has 1008 divisors, whose sum is σ = 45649042560. Its totient is φ = 2336256000.

The previous prime is 10520452763. The next prime is 10520452837. The reversal of 10520452800 is 825402501.

It is a happy number.

10520452800 is a `hidden beast` number, since 10 + 520 + 4 + 52 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10520452763) and next prime (10520452837).

It is a super-2 number, since 2×10520452800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80308735 + ... + 80308865.

Almost surely, 2^10520452800 is an apocalyptic number.

10520452800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10520452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22824521280).

10520452800 is an abundant number, since it is smaller than the sum of its proper divisors (35128589760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10520452800 is a wasteful number, since it uses less digits than its factorization.

10520452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10520452800 in words is "ten billion, five hundred twenty million, four hundred fifty-two thousand, eight hundred".